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Simplifying 4a4 + -9b2 = 0 Solving 4a4 + -9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b2' to each side of the equation. 4a4 + -9b2 + 9b2 = 0 + 9b2 Combine like terms: -9b2 + 9b2 = 0 4a4 + 0 = 0 + 9b2 4a4 = 0 + 9b2 Remove the zero: 4a4 = 9b2 Divide each side by '4'. a4 = 2.25b2 Simplifying a4 = 2.25b2 Combine like terms: 2.25b2 + -2.25b2 = 0.00 a4 + -2.25b2 = 0.00 Factor a difference between two squares. (a2 + 1.5b)(a2 + -1.5b) = 0.00Subproblem 1
Set the factor '(a2 + 1.5b)' equal to zero and attempt to solve: Simplifying a2 + 1.5b = 0 Solving a2 + 1.5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.5b' to each side of the equation. a2 + 1.5b + -1.5b = 0 + -1.5b Combine like terms: 1.5b + -1.5b = 0.0 a2 + 0.0 = 0 + -1.5b a2 = 0 + -1.5b Remove the zero: a2 = -1.5b Simplifying a2 = -1.5b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(a2 + -1.5b)' equal to zero and attempt to solve: Simplifying a2 + -1.5b = 0 Solving a2 + -1.5b = 0 Move all terms containing a to the left, all other terms to the right. Add '1.5b' to each side of the equation. a2 + -1.5b + 1.5b = 0 + 1.5b Combine like terms: -1.5b + 1.5b = 0.0 a2 + 0.0 = 0 + 1.5b a2 = 0 + 1.5b Remove the zero: a2 = 1.5b Simplifying a2 = 1.5b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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